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Finding the Fourth Proportional to 284,310, 392,347.80 and 171,154.62

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Solution

The fourth proportional to 284,310, 392,347.80 and 171,154.62 is: 236,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310 : 392,347.80 = 171,154.62 : x
  2. Step 2: Convert to fraction form
    284,310/392,347.80 = 171,154.62/x
  3. Step 3: Cross multiply
    284,310x = 392,347.80 × 171,154.62
  4. Step 4: Simplify right side
    284,310x = 67,152,138,616.84
  5. Step 5: Solve for x
    x = 67,152,138,616.84/284,310
  6. Step 6: Final answer
    x = 236,193.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.